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Finding the Fourth Proportional to 316,499.37, 476,970.69 and 284,940.96

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Solution

The fourth proportional to 316,499.37, 476,970.69 and 284,940.96 is: 429,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,499.37 : 476,970.69 = 284,940.96 : x
  2. Step 2: Convert to fraction form
    316,499.37/476,970.69 = 284,940.96/x
  3. Step 3: Cross multiply
    316,499.37x = 476,970.69 × 284,940.96
  4. Step 4: Simplify right side
    316,499.37x = 135,908,485,231.93
  5. Step 5: Solve for x
    x = 135,908,485,231.93/316,499.37
  6. Step 6: Final answer
    x = 429,411.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.